SOLUTION: A poker hand consisting of 7 cards is dealt from a standard deck of 52 cards. Find the probability that the hand contains exactly 6 face cards.
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Question 1145671: A poker hand consisting of 7 cards is dealt from a standard deck of 52 cards. Find the probability that the hand contains exactly 6 face cards.
Answer by VFBundy(438) (Show Source): You can put this solution on YOUR website!
There are 12 face cards in a deck of 52 cards. This means there are 40 non-face cards in a deck of 52 cards.
(Ways to choose 6 face cards * Ways to choose 1 non-face card) DIVIDED BY (Ways to choose 7 cards)
(12C6 * 40C1)/52C7
*
-------------------
= (924 * 40)/133784560
= 36960/133784560
= 0.00028
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